5x-2y=-9

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract 5x from both sides of the equation.

-2y=-9-5x

Divide each term by -2 and simplify.

Divide each term in -2y=-9-5x by -2.

-2y-2=-9-2+-5x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-9-2+-5x-2

Divide y by 1.

y=-9-2+-5x-2

y=-9-2+-5x-2

Simplify -9-2+-5x-2.

Simplify each term.

Dividing two negative values results in a positive value.

y=92+-5x-2

Dividing two negative values results in a positive value.

y=92+5×2

y=92+5×2

Reorder 92 and 5×2.

y=5×2+92

y=5×2+92

y=5×2+92

Rewrite in slope-intercept form.

y=52x+92

y=52x+92

Using the slope-intercept form, the y-intercept is 92.

b=92

Find the Y-Intercept 5x-2y=-9